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Finding the Third Proportional to 645,544 and 1,378,940

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Solution

The third proportional to 645,544 and 1,378,940 is: 2,945,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,544 : 1,378,940 = 1,378,940 : x
  2. Step 2: Convert to fraction form
    645,544/1,378,940 = 1,378,940/x
  3. Step 3: Cross multiply
    645,544x = 1,378,940 × 1,378,940
  4. Step 4: Simplify right side
    645,544x = 1,901,475,523,600
  5. Step 5: Solve for x
    x = 1,901,475,523,600/645,544
  6. Step 6: Final answer
    x = 2,945,539.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.